Step-by-step explanation:
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- Length of a park ( l ) = 55 m
- Breadth of a park ( b ) = 35 m
- Width running outside the park ( d ) = 2.5 m
- Rate of paving the path with stones = Rs 120 per sq.metre
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- Area of the park
- Cosy of paving the path with stones at Rs 130 per sq.metre
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Part 1 : 
plug the known values and simplify :
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Part 2 : 
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Hope I helped ! ♡
Have a wonderful day /night ツ
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-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x
Answer:
Here's what I get.
Step-by-step explanation:
When you dilate an object by a scale factor, you multiply its coordinates by the same number.
If the scale factor is 4, the rule is (x, y) ⟶ (4x, 4y)
Your table then becomes

The diagram below shows figure VVXY as a green bow-tie and its image V'W'X'Y' in orange.
The scale factor is greater than one, so the dilation is an enlargement.
Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.